Write the Correct Answer s1

Name Date Class

Problem Solving

Solving Systems by Elimination

Write the correct answer.

Holt McDougal Coordinate Algebra

Name Date Class

1. Mr. Nguyen bought a package of 3 chicken legs and a package of 7 chicken wings. Ms. Dawes bought a package of
3 chicken legs and a package of 6 chicken wings. Mr. Nguyen bought 45 ounces of chicken. Ms. Dawes bought 42 ounces of chicken. How much did each chicken leg and each chicken wing weigh?

3. The Lees spent $31 on movie tickets for 2 adults and 3 children. The Macias spent $26 on movie tickets for 2 adults and 2 children. What are the prices for adult and child movie tickets?

2. Jayce bought 2 bath towels and returned 3 hand towels. His sister Jayna bought 3 bath towels and 3 hand towels. Jayce’s bill was $5. Jayna’s bill was $45. What are the prices of a bath towel and a hand towel?

4. Last month Stephanie spent $57 on 4 allergy shots and 1 office visit. This month she spent $9 after 1 office visit and a refund for 2 allergy shots from her insurance company. How much does an office visit cost? an allergy shot?

Holt McDougal Coordinate Algebra

Name Date Class

Use the chart below to answer questions 5–6. Select the best answer. The chart shows the price per pound for dried fruit.

Dried Fruit Price List
Pineapple / Apple / Mango / Papaya
$7.50/lb / $7.00/lb / $8.00/lb / $7.25/lb

Holt McDougal Coordinate Algebra

Name Date Class

5. A customer bought 5 pounds of mango and papaya for $37.75. How many pounds of each fruit did the customer buy?

A 2 lbs mango and 3 lbs papaya

B 3 lbs mango and 2 lbs papaya

C 1 lb mango and 4 lbs papaya

D 4 lbs mango and 1 lb papaya

6. A store employee made two gift baskets of dried fruit, each costing $100. The first basket had 12 pounds of fruit x and 2 pounds of fruit y. The second basket had 4 pounds of fruit x and 9 pounds of fruit y. Which two fruits did the employee use in the baskets?

F pineapple and apple

G apple and mango

H mango and papaya

J papaya and pineapple

Challenge

2. 5x - 2y = 20

3. -21x - 18y = -3780

4. x = 60

6. y = 140, z = 5

7. sleeping bags: $60; tents: $140;
bug repellant: $5

Problem Solving

1. chicken leg 8 oz.,

chicken wing 3 oz.

2. bath towel $10,

hand towel $5

3. adult ticket $8,

child ticket $5

4. office visit $25,

allergy shot $8

5. A 6. G

Reading Strategies

1. Multiply the first equation by 3 and the second equation by 5 to get common coefficients of -15.

3. (1, -3) 4. (10, -10)

Solving Special Systems

Practice A

1. no solution

2. infinitely many solutions

3. infinitely many solutions

4. no solution

5. infinitely many solutions;

consistent, dependent

6. no solution;

inconsistent

8. They will always have the same amount of money.

The graphs of these equations are the same line.

Practice B

1. infinitely many solutions

2. no solution

3. no solution

4. infinitely many solutions

5. consistent, dependent;

infinitely many solutions

6. consistent, independent;

one solution

7. Yes. The graphs of the two equations have different slopes. They will intersect.

8. No. The graphs of the two equations are parallel lines. They will never intersect.

Practice C

1. infinitely many solutions

2. no solution

3. infinitely many solutions

4. no solution

5. inconsistent;

no solution

6. consistent, independent;

one solution

7. Yes. The graphs of the two equations have different slopes. They will intersect.

8. No. The graphs of the two equations are parallel lines. They will never intersect.

Review for Mastery

1. infinitely many solutions

2. no solution

3. no solution

4. inconsistent;

no solutions

Holt McDougal Coordinate Algebra